Damping of Mechanical Vibrations by Parametric Excitation

The goal of this work is to develop deeper insightinto the method of damping vibrations by means ofparametric excitation in mechanical systems -employing the concept of the so-called parametricanti-resonance. Mechanical systems withsimultaneously varying time-periodic stiffness,damping and inertia coefficients are examined. Atleast two vibration modes are necessary to achievedamping. For these minimum systems a thoroughstability analysis is carried out using aperturbation technique.Parametric excitation may lead to a coupling of justtwo modes of a vibrating system, while the remainingmodes are not affected. This coupling enables totransfer energy between modes and its subsequentmitigation. The results demonstrate that parametricexcitation can be employed to extend significantlythe area of stability in the parameter space of thesystem parameters. The proposed method showspotential in practical applications when adestabilization due to self-excitation occurs or whenthe damping of weakly damped systems shall beenhanced. The present book can be used as acomprehensive guide for designing a device forvibration suppression by parametric excitation.